232 [219]: "Quantity, in the first place quantitativeness with some determinateness or limit in general — in its complete determinateness is number"...

234 [221]:
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numerosity.
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and

248 [235-236] — On the question of the role and significance
Apropos of Kant's antinomies (the world without beginning, etc.), Hegel again proves *at length* that in the premises what needs to be proved is taken as already proved (267-278) [255-267].
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Further, the transition of quantity into quality in abstract-theoretical exposition is so obscure that one understands nothing. Return to this!!
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285 [273]: In the calculation of infinities, a certain inexactness (deliberate) is ignored, and yet the result is obtained not as approximate, but as entirely precise!
Still, to seek here a justification** — "is not so superfluous," "as it would be superfluous to demand a proof of the right to use one's own nose"
* — at length. Ed.
** — justification. Ed.

An interesting observation made in passing by Hegel — "transcendentally, that is, in essence subjectively and psychologically"... "in a transcendental manner, namely in the subject" (288) [276].

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Pp. 282-327 [270-314] and ff. — 379 [363]

A most detailed examination of differential and integral calculus, with citations — Newton, Lagrange, Carnot, Euler, Leibniz, etc., etc. — showing how fascinating to Hegel was this "vanishing" of infinitesimals, this "mean between Being and Non-being". Without study of higher mathematics all this is incomprehensible. Characteristic is Carnot's title: *Reflexions sur la Metaphysique du calcul infinitesimal*!!!**

The development of the concept of relation*** (379-394) [363-379] is exceedingly obscure. Note only, p. 394 [378-379], the remarks on

NB?

"The customary definitions of force, or substantiality, cause and effect, etc., are likewise merely symbols for the expression of, for instance, vital or spiritual relations — that is, untrue definitions for the latter" (394) [379].

* — obscure. Ed.
** — Carnot: "Reflections on the Metaphysics of the Calculus of Infinitesimals"!!! Ed.
*** — relation. Ed.